Answer:
64 in²
Step-by-step explanation:
For 2 similar figures, if
linear ratio = a : b , then
area ratio = a² : b²
Here the linear ratio = 8 : 10 = 4 : 5, hence
area ratio = 4² : 5² = 16 : 25
Let x be the area of the smaller figure, then
[tex]\frac{x}{16}[/tex] = [tex]\frac{100}{25}[/tex] ( cross- multiply )
25x = 16 × 100 = 1600 ( divide both sides by 25 )
x = 64
Area of smaller figure = 64 in²
